Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases

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Title of paper: A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases Author(s): Veselina Bureva     0000-0003-4344-4392 Laboratory of Intelligent Systems, Burgas State University “Prof. Dr. Assen Zlatarov”, 1 “Prof. Yakimov” Blvd., Burgas 8010, Bulgaria veselina-bureva@uniburgas.bg Krassimir Atanassov     0000-0001-5625-071X Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria krat@bas.bg , k.t.atanassov@gmail.com Published in: Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1, pages 30–39 DOI: https://doi.org/10.7546/nifs.2026.32.1.30-39 Download:  PDF (1319  Kb, File info) Abstract: In the current investigation, a modifying operator over temporal intuitionistic fuzzy index matrices (TIFIM) is presented. Thereafter, an example of autonomous priority-based self-managing database system using intuitionistic fuzzy logic is developed. The modifying operator is implemented for priorities updating. The priorities are changed according to three cases. In the first case, the modifying operator increases the degree of membership and decreases the degree of non-membership if the record is frequently searched. In the second case, the modifying operator decreases the degree of membership and increases the degree of non-membership if the record is rarely searched. In the third case, the modifying operator set the record priority to ⟨0,1⟩ and deleted it the record is not searched more than n days. Keywords: Autonomous self-managing database, Dynamic priorities, Temporal intuitionistic fuzzy index matrix. AMS Classification: 03E72 References: Abbasi, M., Bernardo, M. V., Váz, P., Silva, J., & Martins, P. (2024). 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